56312200 has 192 divisors, whose sum is σ = 165168000. Its totient is φ = 17418240.

The previous prime is 56312173. The next prime is 56312231. The reversal of 56312200 is 221365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771364 + ... + 771436.

It is an arithmetic number, because the mean of its divisors is an integer number (860250).

Almost surely, 2^56312200 is an apocalyptic number.

56312200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82584000).

56312200 is an abundant number, since it is smaller than the sum of its proper divisors (108855800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56312200 is a wasteful number, since it uses less digits than its factorization.

56312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56312200 is about 7504.1455209771. The cubic root of 56312200 is about 383.2958921633.

Adding to 56312200 its reverse (221365), we get a palindrome (56533565).

The spelling of 56312200 in words is "fifty-six million, three hundred twelve thousand, two hundred".